10505400500643 has 32 divisors (see below), whose sum is σ = 14347741082112. Its totient is φ = 6835344768000.

The previous prime is 10505400500629. The next prime is 10505400500723. The reversal of 10505400500643 is 34600500450501.

10505400500643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505400500643 - 2⁶ = 10505400500579 is a prime.

It is a super-2 number, since 2×10505400500643² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505400500443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126175155 + ... + 126258387.

It is an arithmetic number, because the mean of its divisors is an integer number (448366908816).

Almost surely, 2^{10505400500643} is an apocalyptic number.

10505400500643 is a deficient number, since it is larger than the sum of its proper divisors (3842340581469).

10505400500643 is a wasteful number, since it uses less digits than its factorization.

10505400500643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89275.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 10505400500643 in words is "ten trillion, five hundred five billion, four hundred million, five hundred thousand, six hundred forty-three".